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The Illusion of Thinking: Strengths and limitations of reasoning models [pdf]

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Re: The Illusion of Thinking: Strengths and limitations of reasoning models [pdf]

#81
> We found that LRMs have limitations in exact computation: they fail to use explicit algorithms and reason inconsistently across puzzles.

It seems that AI LLMs/LRMs need helps from their distant cousins namely logic, optimization and constraint programming that can be attributed as intelligent automation or IA [1],[2],[3],[4].

[1] Logic, Optimization, and Constraint Programming: A Fruitful Collaboration - John Hooker - CMU (2023) [video]:

https://www.youtube.com/live/TknN8fCQvRk

[2] "We Really Don't Know How to Compute!" - Gerald Sussman - MIT (2011) [video]:

https://youtube.com/watch?v=HB5TrK7A4pI

[3] Google OR-Tools:

https://developers.google.com/optimization

[4] MiniZinc:

https://www.minizinc.org/

Re: The Illusion of Thinking: Strengths and limitations of reasoning models [pdf]

#82
All the environments the test (Tower of Hanoi, Checkers Jumping, River Crossing, Block World) could easily be solved perfectly by any of the LLMs if the authors had allowed it to write code.

I don't really see how this is different from "LLMs can't multiply 20 digit numbers"--which btw, most humans can't either. I tried it once (using pen and paper) and consistently made errors somewhere.

Re: The Illusion of Thinking: Strengths and limitations of reasoning models [pdf]

#83
post #71
post #45

I think the intuition the authors are trying to capture is that they believe the models are omniscient, but also dim-witted. And the question they are collectively trying to ask is whether this will continue forever. I've never seen this question quantified in a really compelling way, and while interesting, I'm not sure this PDF succeeds, at least not well-enough to silence dissent. I think AI maximalists will contin…

> I think the intuition the authors are trying to capture is that they believe the models are omniscient, but also dim-witted. We keep assigning adjectives to this technology that anthropomorphize the neat tricks we've invented. There's nothing "omniscient" or "dim-witted" about these tools. They have no wit. They do not think or reason. All Large "Reasoning" Models do is generate data that they use as context to gen…

>They have no wit. They do not think or reason.

Computers can't think and submarines can't swim.

Re: The Illusion of Thinking: Strengths and limitations of reasoning models [pdf]

#84
post #71
post #45

I think the intuition the authors are trying to capture is that they believe the models are omniscient, but also dim-witted. And the question they are collectively trying to ask is whether this will continue forever. I've never seen this question quantified in a really compelling way, and while interesting, I'm not sure this PDF succeeds, at least not well-enough to silence dissent. I think AI maximalists will contin…

> I think the intuition the authors are trying to capture is that they believe the models are omniscient, but also dim-witted. We keep assigning adjectives to this technology that anthropomorphize the neat tricks we've invented. There's nothing "omniscient" or "dim-witted" about these tools. They have no wit. They do not think or reason. All Large "Reasoning" Models do is generate data that they use as context to gen…

>There's nothing "omniscient" or "dim-witted" about these tools

I disagree in that that seems quite a good way of describing them. All language is a bit inexact.

Also I don't buy we are no closer to AI than ten years ago - there seem lots going on. Just because LLMs are limited doesn't mean we can't find or add other algorithms - I mean look at alphaevolve for example https://www.technologyreview.com/2025/05/14/1116438/google-d...

>found a faster way to solve matrix multiplications—a fundamental problem in computer science—beating a record that had stood for more than 50 years

I figure it's hard to argue that that is not at least somewhat intelligent?

Re: The Illusion of Thinking: Strengths and limitations of reasoning models [pdf]

#85

All the environments the test (Tower of Hanoi, Checkers Jumping, River Crossing, Block World) could easily be solved perfectly by any of the LLMs if the authors had allowed it to write code. I don't really see how this is different from "LLMs can't multiply 20 digit numbers"--which btw, most humans can't either. I tried it once (using pen and paper) and consistently made errors somewhere.

> humans can't

The reasons humans can't and the reasons LLMs can't are completely different though. LLMs are often incapable of performing multiplication. Many humans just wouldn't care to do it.

Re: The Illusion of Thinking: Strengths and limitations of reasoning models [pdf]

#86

All the environments the test (Tower of Hanoi, Checkers Jumping, River Crossing, Block World) could easily be solved perfectly by any of the LLMs if the authors had allowed it to write code. I don't really see how this is different from "LLMs can't multiply 20 digit numbers"--which btw, most humans can't either. I tried it once (using pen and paper) and consistently made errors somewhere.

> I don't really see how this is different from "LLMs can't multiply 20 digit numbers"--which btw, most humans can't either. I tried it once (using pen and paper) and consistently made errors somewhere.

People made missiles and precise engineering like jet aircraft before we had computers, humans can do all of those things reliably just by spending more time thinking about it, inventing better strategies and using more paper.

Our brains weren't made to do such computations, but a general intelligence can solve the problem anyway by using what it has in a smart way.

Re: The Illusion of Thinking: Strengths and limitations of reasoning models [pdf]

#87
post #55
post #48

Earlier quoted context omitted.

The errors that LLMs make and the errors that people make are not probably not comparable enough in a lot of the discussions about LLM limitations at this point?

We have different failure modes. And I'm sure researchers, faced with these results, will be motivated to overcome these limitations. This is all good, keep it coming. I just don't understand the some of the naysaying here.

They naysayers just says that even when people are motivated to solve a problem the problem might still not get solved. And there are unsolved problems still with LLM, the AI hypemen say AGI is all but a given in a few years time, but if that relies on some undiscovered breakthrough that is very unlikely since such breakthroughs are very rare.

Re: The Illusion of Thinking: Strengths and limitations of reasoning models [pdf]

#88
post #83
post #71

Earlier quoted context omitted.

> I think the intuition the authors are trying to capture is that they believe the models are omniscient, but also dim-witted. We keep assigning adjectives to this technology that anthropomorphize the neat tricks we've invented. There's nothing "omniscient" or "dim-witted" about these tools. They have no wit. They do not think or reason. All Large "Reasoning" Models do is generate data that they use as context to gen…

>They have no wit. They do not think or reason. Computers can't think and submarines can't swim.

But if you need a submarine that can swim as agiley as a fish then we still aren't there yet, fish are far superior to submarines in many ways. So submarines might be faster than fish, but there are so many maneuvers that fish can do that the submarine can't. Its the same with here with thinking.

So just like computers are better at humans at multiplying numbers, there are still many things we need human intelligence for even in todays era of LLM.

Re: The Illusion of Thinking: Strengths and limitations of reasoning models [pdf]

#89
post #58

Earlier quoted context omitted.

Is that what "reasoning" means? That sounds pretty ridiculous. I've thought before that AI is as "intelligent" as your smartphone is "smart," but I didn't think "reasoning" would be just another buzzword.

I am not too familiar with the latest hype, but "reasoning" has a very straightforward definition in my mind. For example, can the program in question derive new facts from old ones in a logically sound manner. Things like applying modus ponens. (A and A => B) => B. Or, all men are mortal and Socrates is a man, and therefore Socrates is mortal. If the program cannot deduce new facts, then it is not reasoning, at leas…

When people say LLMs can't do X, I like to try it.

    Q: Complete 3 by generating new knowledge:
    1. today is warm
    2. cats likes warm temperatures
    3.
A: Therefore, a cat is likely to be enjoying the weather today.

Q: does the operation to create new knowledge you did have a specific name?

A: ... Deductive Reasoning

Q: does the operation also have a Latin name?

A: ... So, to be precise, you used a syllogismus (syllogism) that takes the form of Modus Ponens to make a deductio (deduction).

https://aistudio.google.com/app/prompts/1LbEGRnzTyk-2IDdn53t...

People then say "of course it could do that, it just pattern matched a Logic text book. I meant in a real example, not an artificially constructed one like this one. In a complex scenario LLMs obviously can't do Modus Ponens.

Re: The Illusion of Thinking: Strengths and limitations of reasoning models [pdf]

#90
post #86

All the environments the test (Tower of Hanoi, Checkers Jumping, River Crossing, Block World) could easily be solved perfectly by any of the LLMs if the authors had allowed it to write code. I don't really see how this is different from "LLMs can't multiply 20 digit numbers"--which btw, most humans can't either. I tried it once (using pen and paper) and consistently made errors somewhere.

> I don't really see how this is different from "LLMs can't multiply 20 digit numbers"--which btw, most humans can't either. I tried it once (using pen and paper) and consistently made errors somewhere. People made missiles and precise engineering like jet aircraft before we had computers, humans can do all of those things reliably just by spending more time thinking about it, inventing better strategies and using mo…

Some specialized people could probably do 20x20, but I'd still expect them to make a mistake at 100x100. The level we needed for space crafts was much less than that, and we had many levels of checks to help catch errors afterwards.

I'd wager that 95% of humans wouldn't be able to do 10x10 multiplication without errors, even if we paid them $100 to get it right. There's a reason we had to invent lots of machines to help us.

It would be an interesting social studies paper to try and recreate some "LLMs can't think" papers with humans.

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